Title of article
Mean inequalities in certain Banach function spaces
Author/Authors
Pankaj Jain، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2007
Pages
10
From page
358
To page
367
Abstract
Boundedness of the Hardy operator (Hf )(x) = x
0 f (t)dt and its adjoint (H∗f )(x) = ∞x f (t)dt is
characterized between Banach function spaces Xq and Lp. By applying a limiting procedure, corresponding
boundedness of the geometric mean operator (Gf )(x) = exp( 1
x x
0 lnf (t)dt) is also derived.
© 2007 Elsevier Inc. All rights reserved
Keywords
boundedness , Hardy inequality , Geometric mean inequality , Banach function space
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2007
Journal title
Journal of Mathematical Analysis and Applications
Record number
936087
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